Write an equation in slope intercept form of the line with the given parametric equations x=8t+3 y=9t+3 Question Write an equation in slope intercept form of the line with the given parametric equations x=8t+3 y=9t+3 in progress 0 Math Ella 3 weeks 2022-01-02T21:07:56+00:00 2022-01-02T21:07:56+00:00 1 Answer 0 views 0

## Answers ( )

Answer:The slope intercept equation of the line is:

y = (9/8)x – (3/8)Step-by-step explanation:–

They give us 2 parametric equations to arrive at y = mx + b (Slope intersection equation)

1. X = 8t + 3

2. Y = 9t + 3

–

We first convert in terms of t to compare both equations:

1. x = 8t + 3

x – 3 = 8t

t = (x – 3) / 8

–

Same for the following:

3. y = 9t + 3

y – 3 = 9t

t = (y – 3) / 9

–

Now equating by comparing both equations, we will find y:

(x – 3) / 8 = (y – 3) / 9

9x -27 = 8y -24

9x – 3 = 8y

– Clearing and comparing both parameters gives us: